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13970294416 = 2413222732
BaseRepresentation
bin11010000001011000…
…11100011010010000
31100001121120111011201
431000230130122100
5212102343410131
610230131520544
71003124354221
oct150054343220
940047514151
1013970294416
115a19959a71
12285a759154
13141840ac00
14967583248
1556b716761
hex340b1c690

13970294416 has 45 divisors (see below), whose sum is σ = 29322619419. Its totient is φ = 6444991488.

The previous prime is 13970294383. The next prime is 13970294417. The reversal of 13970294416 is 61449207931.

The square root of 13970294416 is 118196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 13924000000 = 6804^2 + 118000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13970294417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6145056 + ... + 6147328.

Almost surely, 213970294416 is an apocalyptic number.

13970294416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13970294416 is the 118196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13970294416

13970294416 is an abundant number, since it is smaller than the sum of its proper divisors (15352325003).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13970294416 is an frugal number, since it uses more digits than its factorization.

13970294416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 13970294416 in words is "thirteen billion, nine hundred seventy million, two hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2273 2704 4546 9092 18184 29549 36368 59098 118196 236392 384137 472784 768274 1536548 3073096 5166529 6146192 10333058 20666116 41332232 67164877 82664464 134329754 268659508 537319016 873143401 1074638032 1746286802 3492573604 6985147208 13970294416